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Finding the Fourth Proportional to 389,001.16, 583,268.46 and 178,375.24

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Solution

The fourth proportional to 389,001.16, 583,268.46 and 178,375.24 is: 267,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,001.16 : 583,268.46 = 178,375.24 : x
  2. Step 2: Convert to fraction form
    389,001.16/583,268.46 = 178,375.24/x
  3. Step 3: Cross multiply
    389,001.16x = 583,268.46 × 178,375.24
  4. Step 4: Simplify right side
    389,001.16x = 104,040,651,536.93
  5. Step 5: Solve for x
    x = 104,040,651,536.93/389,001.16
  6. Step 6: Final answer
    x = 267,455.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.